An Analytical and Numerical simulation of Fuzzy Delay Differential Equation Model of HIV infection of CD4+T-Cells

Abstract

A new fuzzy mathematical model of HIV infection of CD4+ T-Cells consisting of fuzzy Delay Differential Equations (FDDEs) has been suggested with the appropriate theory and analysis. In this fuzzy dynamical system, we consider three equations having parameters uninfected, viral and infected cells. Therefore, utilizing a fuzzy dynamical system and − cuts, we prepare to suppress the HIV epidemic in this approach. We transform this system into a fuzzy linear system of differential equations, and then we endeavor to solve these FDDEs using the Runge-Kutta method at the order of five. In addition, we presented the stability of fuzzy differential equations before the numerical analysis